On the spanning fan-connectivity of graphs Original Research Article

Let image be a graph. The connectivity of image, image, is the maximum integer image such that there exists a image-container between any two different vertices. A image-container of image between image and image, image, is a set of image-internally-disjoint paths between image and image. A spanning container is a container that spans image. A graph image is image-connected if there exists a spanning image-container between any two different vertices. The spanning connectivity of image, image, is the maximum integer image such that image is image-connected for image if image is image-connected.